Category: Algebra

Question Number 145835 by mathdanisur last updated on 08/Jul/21 $$\underset{{x}\rightarrow\frac{\pi}{\mathrm{2}}} {{lim}}\left({sin}\mathrm{2}{x}\centerdot{tgx}\right)=? \\ $$ Answered by bramlexs22 last updated on 09/Jul/21 $$\:\underset{{x}\rightarrow\frac{\pi}{\mathrm{2}}} {\mathrm{lim}}\:\frac{\mathrm{2sin}\:\mathrm{x}\:\mathrm{cos}\:\mathrm{x}.\mathrm{sin}\:\mathrm{x}}{\mathrm{cos}\:\mathrm{x}}\:=\:\underset{{x}\rightarrow\frac{\pi}{\mathrm{2}}} {\mathrm{lim}2sin}\:^{\mathrm{2}} \mathrm{x} \\…

Question Number 145819 by EDWIN88 last updated on 08/Jul/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 145801 by mathdanisur last updated on 08/Jul/21 Answered by ajfour last updated on 08/Jul/21 $${xy}+{tz}={a} \\ $$$${solving}\:{for}\:{x},{y}\:{in}\:{terms}\:{of} \\ $$$${t},{z}\:{from}\:\mathrm{2}{nd}\:{and}\:\mathrm{3}{rd}\:{eqs}. \\ $$$${x}=\frac{{bz}−{ct}}{{z}^{\mathrm{2}} −{t}^{\mathrm{2}} }\:\:;\:\:{y}=\frac{{bt}−{cz}}{{t}^{\mathrm{2}}…

Question Number 80261 by Power last updated on 01/Feb/20 Commented by MJS last updated on 01/Feb/20 $$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{obvious}\:\mathrm{maximum}\:\mathrm{of} \\ $$$$\frac{\mathrm{1}}{{x}^{\mathrm{2}} +\mathrm{2}}\:\mathrm{with}\:{x}>\mathrm{0}?\:\mathrm{this}\:\mathrm{is}\:\mathrm{clear}\:\mathrm{as}\:\mathrm{anything} \\ $$$$\mathrm{might}\:\mathrm{be}. \\ $$ Terms…

Question Number 80243 by mr W last updated on 01/Feb/20 $${if}\:{x}+\frac{\mathrm{1}}{{x}}={a}\:\left({a}\in\mathbb{R}\right) \\ $$$${find}\:{x}^{{n}} +\frac{\mathrm{1}}{{x}^{{n}} }=? \\ $$$$\left({n}\in\mathbb{N}\right) \\ $$ Commented by TawaTawa last updated on…